If the 3 side lengths of a right angled triangle are 3x,4x,5x cm and perimeter be 36 cm then the area of the triangle be 54 [tex]cm^{2}[/tex].
Given that the 3 side lengths of a right angled triangle are 3x,4x,5x cm and perimeter be 36 cm.
We are required to find the area of the right angled triangle.
Perimeter is basically the sum of lengths of all the sides of the figure.
So,
3x+4x+5x=36
12x=36
x=3
First side=3x=3*3=9 cm
Second side=4x=4*3=12 cm
Third side=5*3=15 cm.
The highest side is 15 cm so it is the hypotenuse of the right angled triangle. The other two sides are base and perpendicular of the triangle.
Area of triangle=1/2 *Base*Height
=1/2* 9*12
=54 [tex]cm^{2}[/tex]
Hence if the 3 side lengths of a right angled triangle are 3x,4x,5x cm and perimeter be 36 cm then the area of the triangle be 54 [tex]cm^{2}[/tex].
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